The United striker came off the bench as Mexico surrendered a one-goal lead in the closing stages with Wesley Sneijder and Klaas-Jan Huntelaar taking Louis van Gaal's Holland through to meet Costa Rica in the quarter-finals.
Huntelaar, who replaced Robin van Persie as a substitute, converted an injury-time penalty controversially awarded for a foul by Rafael Marquez on Arjen Robben. The turnaround means Mexico have gone out at this stage of the competition for six successive campaigns but Chicharito insists there is no curse on El Tri.
"It is a very bitter pill for us," he explained to reporters. "We were another step closer to achieving what we had set out to do and, unfortunately, we could not do it.
"It's part of football, a distraction [from a set-piece] and then a very dubious penalty that knocks us out and, unfortunately, we have to go home.
"It's not about blaming the referees," he insisted. "They are only human and he made a bad decision. We cannot do anything about it. But it hurt the aspirations of a country and a team.
"This defeat was our first at the World Cup and it caused us elimination. That's football and you cannot predict anything. Everyone tried to do their best. In that respect, we're proud of the effort but not satisfied."